Mathematics, 29.08.2019 08:00, kamorex

Arectangle’s width is one-fourth of its length. its area is 9 square units. the equation l(l) = 9 can be used to find l, the length of the rectangle. what is the length of the rectangle? 0.75 units 1.5 units 3 units 6 units

Answers: 2

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answered: Woodlandgirl14

Length of the rectangle is 6 unit.

Step-by-step explanation:

Here, I represents the length of the rectangle,

Since, width of the rectangle is one-fourth of its length,

⇒ Width of the rectangle = $\frac{l}{4}$

We know that,

The area of a rectangle = Length × Width,

Thus, the area of given rectangle,

$A=l\times \frac{l}{4}$

According to the question,

A = 9,

$\implies l\times \frac{l}{4}=9$

$\implies \frac{l^2}{4}=9$

$\implies l^2 =36\implies l = 6$

Hence, the length of the rectangle is 6 unit.

answered: santos200154

The answer D

Which is 6 units

Step-by-step explanation:

answered: Guest

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the (original price) is $420.

0.7x = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600